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Extensions 1→N→G→Q→1 with N=C22 and Q=C2×D4

Direct product G=N×Q with N=C22 and Q=C2×D4
dρLabelID
D4×C2×C22176D4xC2xC22352,189

Semidirect products G=N:Q with N=C22 and Q=C2×D4
extensionφ:Q→Aut NdρLabelID
C22⋊1(C2×D4) = C22×D44φ: C2×D4/C2×C4 → C2 ⊆ Aut C22176C22:1(C2xD4)352,175
C22⋊2(C2×D4) = C2×D4×D11φ: C2×D4/D4 → C2 ⊆ Aut C2288C22:2(C2xD4)352,177
C22⋊3(C2×D4) = C22×C11⋊D4φ: C2×D4/C23 → C2 ⊆ Aut C22176C22:3(C2xD4)352,187

Non-split extensions G=N.Q with N=C22 and Q=C2×D4
extensionφ:Q→Aut NdρLabelID
C22.1(C2×D4) = C44⋊2Q8φ: C2×D4/C2×C4 → C2 ⊆ Aut C22352C22.1(C2xD4)352,64
C22.2(C2×D4) = C4×D44φ: C2×D4/C2×C4 → C2 ⊆ Aut C22176C22.2(C2xD4)352,68
C22.3(C2×D4) = C4⋊D44φ: C2×D4/C2×C4 → C2 ⊆ Aut C22176C22.3(C2xD4)352,69
C22.4(C2×D4) = C4.D44φ: C2×D4/C2×C4 → C2 ⊆ Aut C22176C22.4(C2xD4)352,70
C22.5(C2×D4) = C22⋊D44φ: C2×D4/C2×C4 → C2 ⊆ Aut C2288C22.5(C2xD4)352,77
C22.6(C2×D4) = C22.D44φ: C2×D4/C2×C4 → C2 ⊆ Aut C22176C22.6(C2xD4)352,81
C22.7(C2×D4) = C4⋊2D44φ: C2×D4/C2×C4 → C2 ⊆ Aut C22176C22.7(C2xD4)352,90
C22.8(C2×D4) = D22⋊2Q8φ: C2×D4/C2×C4 → C2 ⊆ Aut C22176C22.8(C2xD4)352,92
C22.9(C2×D4) = C2×C8⋊D11φ: C2×D4/C2×C4 → C2 ⊆ Aut C22176C22.9(C2xD4)352,97
C22.10(C2×D4) = C2×D88φ: C2×D4/C2×C4 → C2 ⊆ Aut C22176C22.10(C2xD4)352,98
C22.11(C2×D4) = D88⋊7C2φ: C2×D4/C2×C4 → C2 ⊆ Aut C221762C22.11(C2xD4)352,99
C22.12(C2×D4) = C2×Dic44φ: C2×D4/C2×C4 → C2 ⊆ Aut C22352C22.12(C2xD4)352,100
C22.13(C2×D4) = C8⋊D22φ: C2×D4/C2×C4 → C2 ⊆ Aut C22884+C22.13(C2xD4)352,103
C22.14(C2×D4) = C8.D22φ: C2×D4/C2×C4 → C2 ⊆ Aut C221764-C22.14(C2xD4)352,104
C22.15(C2×D4) = C2×C44⋊C4φ: C2×D4/C2×C4 → C2 ⊆ Aut C22352C22.15(C2xD4)352,120
C22.16(C2×D4) = C22⋊Dic22φ: C2×D4/D4 → C2 ⊆ Aut C22176C22.16(C2xD4)352,73
C22.17(C2×D4) = C22⋊C4×D11φ: C2×D4/D4 → C2 ⊆ Aut C2288C22.17(C2xD4)352,75
C22.18(C2×D4) = Dic11⋊4D4φ: C2×D4/D4 → C2 ⊆ Aut C22176C22.18(C2xD4)352,76
C22.19(C2×D4) = D22.D4φ: C2×D4/D4 → C2 ⊆ Aut C22176C22.19(C2xD4)352,78
C22.20(C2×D4) = D22⋊D4φ: C2×D4/D4 → C2 ⊆ Aut C22176C22.20(C2xD4)352,79
C22.21(C2×D4) = Dic11.D4φ: C2×D4/D4 → C2 ⊆ Aut C22176C22.21(C2xD4)352,80
C22.22(C2×D4) = C44⋊Q8φ: C2×D4/D4 → C2 ⊆ Aut C22352C22.22(C2xD4)352,83
C22.23(C2×D4) = C4⋊C4×D11φ: C2×D4/D4 → C2 ⊆ Aut C22176C22.23(C2xD4)352,86
C22.24(C2×D4) = D44⋊C4φ: C2×D4/D4 → C2 ⊆ Aut C22176C22.24(C2xD4)352,88
C22.25(C2×D4) = D22.5D4φ: C2×D4/D4 → C2 ⊆ Aut C22176C22.25(C2xD4)352,89
C22.26(C2×D4) = D22⋊Q8φ: C2×D4/D4 → C2 ⊆ Aut C22176C22.26(C2xD4)352,91
C22.27(C2×D4) = D8×D11φ: C2×D4/D4 → C2 ⊆ Aut C22884+C22.27(C2xD4)352,105
C22.28(C2×D4) = D4⋊D22φ: C2×D4/D4 → C2 ⊆ Aut C22884C22.28(C2xD4)352,106
C22.29(C2×D4) = D8⋊3D11φ: C2×D4/D4 → C2 ⊆ Aut C221764-C22.29(C2xD4)352,107
C22.30(C2×D4) = SD16×D11φ: C2×D4/D4 → C2 ⊆ Aut C22884C22.30(C2xD4)352,108
C22.31(C2×D4) = D88⋊C2φ: C2×D4/D4 → C2 ⊆ Aut C22884+C22.31(C2xD4)352,109
C22.32(C2×D4) = D4.D22φ: C2×D4/D4 → C2 ⊆ Aut C221764-C22.32(C2xD4)352,110
C22.33(C2×D4) = Q8.D22φ: C2×D4/D4 → C2 ⊆ Aut C221764C22.33(C2xD4)352,111
C22.34(C2×D4) = Q16×D11φ: C2×D4/D4 → C2 ⊆ Aut C221764-C22.34(C2xD4)352,112
C22.35(C2×D4) = Q16⋊D11φ: C2×D4/D4 → C2 ⊆ Aut C221764C22.35(C2xD4)352,113
C22.36(C2×D4) = D88⋊5C2φ: C2×D4/D4 → C2 ⊆ Aut C221764+C22.36(C2xD4)352,114
C22.37(C2×D4) = D4×Dic11φ: C2×D4/D4 → C2 ⊆ Aut C22176C22.37(C2xD4)352,129
C22.38(C2×D4) = C2×Dic11⋊C4φ: C2×D4/C23 → C2 ⊆ Aut C22352C22.38(C2xD4)352,118
C22.39(C2×D4) = C44.48D4φ: C2×D4/C23 → C2 ⊆ Aut C22176C22.39(C2xD4)352,119
C22.40(C2×D4) = C2×D22⋊C4φ: C2×D4/C23 → C2 ⊆ Aut C22176C22.40(C2xD4)352,122
C22.41(C2×D4) = C4×C11⋊D4φ: C2×D4/C23 → C2 ⊆ Aut C22176C22.41(C2xD4)352,123
C22.42(C2×D4) = C23.23D22φ: C2×D4/C23 → C2 ⊆ Aut C22176C22.42(C2xD4)352,124
C22.43(C2×D4) = C44⋊7D4φ: C2×D4/C23 → C2 ⊆ Aut C22176C22.43(C2xD4)352,125
C22.44(C2×D4) = C2×D4⋊D11φ: C2×D4/C23 → C2 ⊆ Aut C22176C22.44(C2xD4)352,126
C22.45(C2×D4) = D44⋊6C22φ: C2×D4/C23 → C2 ⊆ Aut C22884C22.45(C2xD4)352,127
C22.46(C2×D4) = C2×D4.D11φ: C2×D4/C23 → C2 ⊆ Aut C22176C22.46(C2xD4)352,128
C22.47(C2×D4) = C23.18D22φ: C2×D4/C23 → C2 ⊆ Aut C22176C22.47(C2xD4)352,130
C22.48(C2×D4) = C44.17D4φ: C2×D4/C23 → C2 ⊆ Aut C22176C22.48(C2xD4)352,131
C22.49(C2×D4) = C23⋊D22φ: C2×D4/C23 → C2 ⊆ Aut C2288C22.49(C2xD4)352,132
C22.50(C2×D4) = C44⋊2D4φ: C2×D4/C23 → C2 ⊆ Aut C22176C22.50(C2xD4)352,133
C22.51(C2×D4) = Dic11⋊D4φ: C2×D4/C23 → C2 ⊆ Aut C22176C22.51(C2xD4)352,134
C22.52(C2×D4) = C44⋊D4φ: C2×D4/C23 → C2 ⊆ Aut C22176C22.52(C2xD4)352,135
C22.53(C2×D4) = C2×Q8⋊D11φ: C2×D4/C23 → C2 ⊆ Aut C22176C22.53(C2xD4)352,136
C22.54(C2×D4) = C44.C23φ: C2×D4/C23 → C2 ⊆ Aut C221764C22.54(C2xD4)352,137
C22.55(C2×D4) = C2×C11⋊Q16φ: C2×D4/C23 → C2 ⊆ Aut C22352C22.55(C2xD4)352,138
C22.56(C2×D4) = Dic11⋊Q8φ: C2×D4/C23 → C2 ⊆ Aut C22352C22.56(C2xD4)352,139
C22.57(C2×D4) = D22⋊3Q8φ: C2×D4/C23 → C2 ⊆ Aut C22176C22.57(C2xD4)352,141
C22.58(C2×D4) = C44.23D4φ: C2×D4/C23 → C2 ⊆ Aut C22176C22.58(C2xD4)352,142
C22.59(C2×D4) = Q8⋊D22φ: C2×D4/C23 → C2 ⊆ Aut C22884+C22.59(C2xD4)352,144
C22.60(C2×D4) = D4.8D22φ: C2×D4/C23 → C2 ⊆ Aut C221764C22.60(C2xD4)352,145
C22.61(C2×D4) = D4.9D22φ: C2×D4/C23 → C2 ⊆ Aut C221764-C22.61(C2xD4)352,146
C22.62(C2×D4) = C2×C23.D11φ: C2×D4/C23 → C2 ⊆ Aut C22176C22.62(C2xD4)352,147
C22.63(C2×D4) = C24⋊D11φ: C2×D4/C23 → C2 ⊆ Aut C2288C22.63(C2xD4)352,148
C22.64(C2×D4) = C22⋊C4×C22central extension (φ=1)176C22.64(C2xD4)352,150
C22.65(C2×D4) = C4⋊C4×C22central extension (φ=1)352C22.65(C2xD4)352,151
C22.66(C2×D4) = D4×C44central extension (φ=1)176C22.66(C2xD4)352,153
C22.67(C2×D4) = C11×C22≀C2central extension (φ=1)88C22.67(C2xD4)352,155
C22.68(C2×D4) = C11×C4⋊D4central extension (φ=1)176C22.68(C2xD4)352,156
C22.69(C2×D4) = C11×C22⋊Q8central extension (φ=1)176C22.69(C2xD4)352,157
C22.70(C2×D4) = C11×C22.D4central extension (φ=1)176C22.70(C2xD4)352,158
C22.71(C2×D4) = C11×C4.4D4central extension (φ=1)176C22.71(C2xD4)352,159
C22.72(C2×D4) = C11×C4⋊1D4central extension (φ=1)176C22.72(C2xD4)352,162
C22.73(C2×D4) = C11×C4⋊Q8central extension (φ=1)352C22.73(C2xD4)352,163
C22.74(C2×D4) = D8×C22central extension (φ=1)176C22.74(C2xD4)352,167
C22.75(C2×D4) = SD16×C22central extension (φ=1)176C22.75(C2xD4)352,168
C22.76(C2×D4) = Q16×C22central extension (φ=1)352C22.76(C2xD4)352,169
C22.77(C2×D4) = C11×C4○D8central extension (φ=1)1762C22.77(C2xD4)352,170
C22.78(C2×D4) = C11×C8⋊C22central extension (φ=1)884C22.78(C2xD4)352,171
C22.79(C2×D4) = C11×C8.C22central extension (φ=1)1764C22.79(C2xD4)352,172

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